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Authors:
William Stallings
Chapter:
Introduction To Number Theory
Exercise:
Review Questions
Question:1 | ISBN:9781292158587 | Edition: 7

Question

What does it mean to say that b is a divisor of a?

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Answer

Assuming b is non-zero.
 
— It means b is a factor of a, 
— It means a/b is an Integer number.
 
We say b divides a, if a = mb for some m.
Where a, b, and m are integers.
 
Number a is completely divisible by b, there wouldn’t be a reminder on division.
 
For example:
Lets say a = 8, and b = 2.
8 is completely divisible by 2.
So, 2 is one of the divisors of 8.
 
Positive divisors of 8 are 1,2,4,8.

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